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Simplifying 12w(12w + -3) = 6w Reorder the terms: 12w(-3 + 12w) = 6w (-3 * 12w + 12w * 12w) = 6w (-36w + 144w2) = 6w Solving -36w + 144w2 = 6w Solving for variable 'w'. Reorder the terms: -36w + -6w + 144w2 = 6w + -6w Combine like terms: -36w + -6w = -42w -42w + 144w2 = 6w + -6w Combine like terms: 6w + -6w = 0 -42w + 144w2 = 0 Factor out the Greatest Common Factor (GCF), '6w'. 6w(-7 + 24w) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(-7 + 24w)' equal to zero and attempt to solve: Simplifying -7 + 24w = 0 Solving -7 + 24w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 24w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 24w = 0 + 7 24w = 0 + 7 Combine like terms: 0 + 7 = 7 24w = 7 Divide each side by '24'. w = 0.2916666667 Simplifying w = 0.2916666667Solution
w = {0, 0.2916666667}
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